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Finding the Fourth Proportional to 423,046.33, 634,571.65 and 142,566.01

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Solution

The fourth proportional to 423,046.33, 634,571.65 and 142,566.01 is: 213,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,046.33 : 634,571.65 = 142,566.01 : x
  2. Step 2: Convert to fraction form
    423,046.33/634,571.65 = 142,566.01/x
  3. Step 3: Cross multiply
    423,046.33x = 634,571.65 × 142,566.01
  4. Step 4: Simplify right side
    423,046.33x = 90,468,346,791.39
  5. Step 5: Solve for x
    x = 90,468,346,791.39/423,046.33
  6. Step 6: Final answer
    x = 213,849.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.